Long Problems (15 points each): Remember to show your work, and show units 1. Th

Question

Long Problems (15 points each): Remember to show your work, and show units 1. The picture to the left shows the cross section of an infinitely long coaxial cable. It has a cylindrical inner conductor of radius c with a positive linear charge density (charge per length) ofth The outer cylindrical shell (also a conductor) has inner radius b and outer radius a with a negative linear charge density (charge per length) of -L. a. (3) What Gaussian surface will work best for this geometry, and why? b: (3) What is the electric field inside the inner conductor, and wh c. (4) Wha d. (3) What is the electric field for r > a? r t is the electric field in between the two conductors (c

Explanation / Answer

1. (a) a cylinder of radius r and length L. as same axis as wire.

  
(b) field inside conductor is always zero.

E = 0

(c) E ( 2 pi r L) = Qin/ e0

E (2 pi r L) = lambda L / e0

Qin = lambda L

E = lamdba / (2 pi e0 r)

(d) Qin = (- lambda + lambda )L = 0

E = 0

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